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math.RT2019
Geometric Multiplicities
Arkady Berenstein, Yanpeng Li
In this paper, we introduce geometric multiplicities, which are positive varieties with potential fibered over the Cartan subgroup of a reductive group . They form a monoida…
math.RT2018
Langlands Duality and Poisson-Lie Duality via Cluster Theory and Tropicalization
Anton Alekseev, Arkady Berenstein, Benjamin Hoffman +1
Let be a connected semisimple Lie group. There are two natural duality constructions that assign to it the Langlands dual group and the Poisson-Lie dual group . T…